Respuesta :
Answer:
The value of x for expression is - [tex]\frac{56}{25}[/tex] .
Step-by-step explanation:
Given expression as :
[tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{6}[/tex] = [tex]\frac{11}{4}[/tex] ( x + 2 )
Or, [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{6}[/tex] = [tex]\frac{11}{4}[/tex] x + [tex]\frac{11}{4}[/tex] × 2
or , [tex]\frac{2}{3}[/tex] x - [tex]\frac{11}{4}[/tex] x = [tex]\frac{11}{2}[/tex] - [tex]\frac{5}{6}[/tex]
Or, ( [tex]\frac{2}{3}[/tex] - [tex]\frac{11}{4}[/tex] ) x = [tex]\frac{33 - 5}{6}[/tex]
Or, ( [tex]\frac{ 8 - 33 }{12}[/tex] ) x = [tex]\frac{28}{6}[/tex]
Or, [tex]\frac{-25}{12}[/tex] x = [tex]\frac{28}{6}[/tex]
∴ x = [tex]\frac{\frac{28}{6}}{\frac{-25}{12}}[/tex]
Or, x = - [tex]\frac{28\times 12}{6\times 25}[/tex]
I.e x = - [tex]\frac{56}{25}[/tex]
Hence The value of x for expression is - [tex]\frac{56}{25}[/tex] . Answer
